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Finding the Fourth Proportional to 205,896.40, 308,614.20 and 117,192.40

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Solution

The fourth proportional to 205,896.40, 308,614.20 and 117,192.40 is: 175,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,896.40 : 308,614.20 = 117,192.40 : x
  2. Step 2: Convert to fraction form
    205,896.40/308,614.20 = 117,192.40/x
  3. Step 3: Cross multiply
    205,896.40x = 308,614.20 × 117,192.40
  4. Step 4: Simplify right side
    205,896.40x = 36,167,238,772.08
  5. Step 5: Solve for x
    x = 36,167,238,772.08/205,896.40
  6. Step 6: Final answer
    x = 175,657.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.